Aimi can make 224 of the smaller Valentine's Day cards after allocating a whole sheet of paper to each of her 6 closest friends, using the 34 sheets of paper she has available.
Explanation:The subject of the question is mathematics, specifically working with fractions and multiplication to solve a real-world application problem. Aimi is making Valentine's Day cards for her class and needs to calculate how many smaller cards she can make from the paper she has available. She is allocating a whole sheet of paper for each of her 6 closest friends and then needs to determine how many 1/8 sheet cards can be made with the remaining paper.
To solve this, we first calculate the amount of paper used for her close friends: 6 sheets (one for each friend). Then, we subtract this number from the total amount of paper she has, 34 sheets, leaving us with 34 - 6 = 28 sheets for the rest of the class.
The smaller cards use 1/8 of a sheet each, so we divide the remaining sheets by 1/8 to determine how many such cards she can make: 28 ÷ (1/8) = 28 × 8 = 224. Therefore, Aimi can make 224 of the smaller Valentine's Day cards.
Final answer:
After accounting for the 6 full sheets of paper used for her closest friends, Aimi can make 224 of the smaller Valentine's Day cards using the remaining 28 sheets.
Explanation:
Aimi is interested in creating Valentine's Day cards for her class and needs to determine how many of the smaller cards she can make after allocating a whole sheet of paper for each of her 6 closest friends. First, we need to calculate the total amount of paper Aimi will use for her 6 closest friends, which is 6 sheets since she is using one whole sheet per friend. Next, we'll subtract those 6 sheets from the total 34 sheets she has available, leaving us with 28 sheets for the rest of the class.
Since each of the smaller cards uses 1/8 of a sheet of paper, we'll divide the remaining sheets by 1/8 to find out how many of those cards she can make. We perform the following calculation: 28 sheets ÷ 1/8 which equals 224 cards. Therefore, Aimi can make 224 of the smaller Valentine's Day cards.
What is the solution to 4n-6=10n?
Which of the following is an inequality that represents the following scenario: Peter is at a local burger shop. He wants to purchase burgers and fries from the store. The cashier tells him that burgers are $5 each and fries are $2 each. Peter has only $15 to spend on food. Let y represent the number of fries purchased and let x represent the number of burgers purchased
5x+2y >/= 5
Answer: 2 burgers and 2 fries if he has only $15
Burgers=$5 each
Fries=$2 each
5+5=10
2+2=4
which comes out to $14 so the max he can get is 2 each
expand and simplify (2t-3)^2
How many different strings can be made from the letters in MISSISSIPPI, using all the letters and having no consecutive S's? ...?
what is 3,996 + 7899
Which statement correctly describes the end behavior of y = -3x5 + 5x2 +2x + 1
A)
The graph rises to the left and falls to the right.
B)
The graph falls to the left and rises to the right.
C)
The graph rises to the left and rises to the right.
D)
The graph falls to the left and falls to the right.
HELP PLEASE?!???
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The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is closest to the sun is called perihelion, and the point at which it is farthest is called aphelion. These points are the vertices of the orbit. A planet's distance from the sun is 224,000,000 km at perihelion and 232,000,000 km at aphelion. Find an equation for the planet's orbit. (Place the origin at the center of the orbit with the sun on the x-axis. ...?
Probability with Huntington's disease?
Huntington disease is a rare degenerative human disease determined by a dominant allele, HD. The disorder is usually manifested after the age of 45. A young man has learned that his father has developed the disease; his mother does not have the disease (and does not carry to HD disease allele).
What is the probability that the young man will later develop the disease?
If the young man has a child with a woman who does not carry the HD disease allele, what is the probability that their first child will be affected by Huntington disease as ...?
The young man has a 50% chance of developing Huntington's disease, as he can inherit the HD allele from his father. Similarly, if he carries the HD allele and has a child with a woman who does not carry the HD allele, their child has a 50% risk of inheriting and developing the disease.
Explanation:Huntington's disease is associated with genetics and can be passed from parents to offspring. If this young man's father suffers from the condition due to a dominant allele, HD, and his mother does not carry the HD allele, he has a 50% chance of inheriting and later developing the disease. This probability arises because the offspring inherits one allele from each parent.
If the young man has a child with a woman who does not carry the HD disease allele, the child's risk of developing the condition depends on whether the father carries the HD allele. If the father does not carry the HD allele, the probability that their first child would be affected by Huntington's disease is 0%. If the father does carry the HD allele, the risk would be 50% as the child will inherit one allele from the each parent (one from the father who might have HD and one from the mother who does not carry the HD allele).
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write a fraction with a denominater of 6 that is greater than 4/2
Rishi Maharan’s charge account statement shows an unpaid balance of $6,752.22. The monthly finance charge is 1.85% of the unpaid balance. After the finance charge was applied, Rishi has made new purchases of $150.75. What is the new account balance?
$7,027.89
$7,030.67
$6,902.97
$6,877.14
The requreid new account balance is approximately $7,027.89, which is option A.
What is a finance charge?A finance charge is a fee charged by a lender or creditor for the use of credit or the extension of existing credit. It is typically calculated as a percentage of the unpaid balance on a credit account or loan and is added to the account balance as an additional cost to the borrower.
The finance charge can be calculated as:
1.85% of $6,752.22 = 0.0185 x $6,752.22 = $124.98
Adding this finance charge to the unpaid balance gives:
$6,752.22 + $124.98 = $6,877.20
Finally, adding the new purchases to this balance gives:
$6,877.20 + $150.75 = $7,027.95
So, the new account balance is approximately $7,027.89, which is option A.
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Each figure represents a Real Number and no denominators are zero. Choose the
correct statement and briefly explain why the others are not correct.
A) a/b+ c/d= a+c/bd
B) a/b+c/d= a+c/b+d
C) a/b+c/d= ad+bc/bd
Find the most general antiderivative of the function.
g(t) = (5 + t + t^2)/ square root of t
To find the most general antiderivative of the function g(t) = (5 + t + t^2) / sqrt(t), rewrite the function using inverse trigonometric functions and integrate it with respect to x, before substituting x back in terms of t to get the most general antiderivative.
Explanation:To find the most general antiderivative of the function, g(t) = (5 + t + t^2) / sqrt(t), we can rewrite the function using inverse trigonometric functions. Let x = sqrt(t), then t = x^2. Substituting this into the function gives us g(x^2) = (5 + x^2 + x^4) / x. Now, we can integrate this function with respect to x to find the antiderivative. The antiderivative of (5 + x^2 + x^4) / x is 5x + (x^3/3) + (x^5/5) + C, where C is the constant of integration. Finally, we substitute x back in terms of t to get the most general antiderivative of g(t).
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A science experiment calls for mixing 3 2/3 cups of distilled water with 1 3/4 cups of vinegar and 2/3 cups of liquid detergent. How much liquid, in all, in cups, is needed?
Answer:
D) 6 1/12
Have a good day.
Answer:
D. It’s right
Step-by-step explanation:
Which function represents exponential decay?
f(x) =1/2 (3/2)^x
f(x) =1/2 (-3/2)^x
f(x) =4 (-2/3)^x
f(x) = 4 (2/3)^x
The function [tex]f(x) = 4 (2/3)^x[/tex] represents exponential decay, as the base of the exponent (2/3) is between 0 and 1.
The function which represents exponential decay is the one where the base of the exponent is between 0 and 1 (0 < b < 1). Out of the given options, [tex]f(x) = 4 (2/3)^x[/tex] represents an exponential decay function since (2/3) is a positive fraction less than 1.
In contrast, a base greater than 1, a negative base, or a base of 1 would not represent decay: a base greater than 1 represents exponential growth; a base of 1 would be constant (no growth or decay); and a base that is negative would not be a standard exponential decay because it would lead to oscillation between positive and negative values.
Use the graph of the function h below to find the following.All values at which h has a local minimum
All local minimum values of h
If there is more than one answer, separate them with commas.
Don't want an answer, just want to know what I'm looking for, maybe an example.
The local minimum values of h are -3 and 0, and occur at the points (-2,-3) and (3,0).
From the graph, we can see that:
Local minimum values of h occur at (-2,-3) and (3,0)
Local minimum values of h are -3 and 0 respectively.
To find the local minimum values of h, we look for the points on the graph where the function changes from decreasing to increasing. These points are called local minimums.
From the graph, we can see that h changes from decreasing to increasing at the points (-2,-3) and (3,0). Therefore, these are the local minimum values of h.
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The following bar graph shows the amount of time Latisha participated in an exercise program over a four-week period. If Latisha wants to make the increase over time appear larger, what could she do to the graph?
a. use a smaller range on the vertical scale
b. use a larger range on the vertical scale
c. use different colored bars
Answer:
The bar graph is given ,which shows the amount of time Latisha participated in an exercise program over a four-week period.
If amount of exercising , that is increase over time appear larger
She must use a larger range on the vertical scale.There will be no change in width of bar graph, as coloring the bar graph with different color will make no sense.
Pictorial representation of this problem is depicted below:
Option (B) is true.Use a larger range on the vertical scale.
This answer is correct in the sense that , if time of exercise increases,
Otherwise, if you increase the width between two whole numbers, the graph will appear larger.That is between if width between 0 to 1 is 1 cm than increase it by 1.5 cm or 2 cm, that will make the bar graph larger.
4.5 3.9 4.258 3.75 4.256 from least to greatest
One book costs £2.98. how much do 4 books cost?
What number is 32% of 75?
Which of the following equations could be used to solve the problem?
n = 0.32(75)
0.32n = 75
n = 75 ÷ 0.32
What is the solution to the equation below? 2(x - 3) = 2x 5?
What is the product?
(5r + 2)(3r − 4)
15r2 + 8
15r2 − 8
15r2 + 14r − 8
15r2 − 14r − 8
15r² -14r -8 is the product of (5r + 2)(3r − 4). Thus, option D is correct.
What is a product?A product is an outcome of multiplying two or more numbers in mathematics. It is a crucial idea in algebra and is applicable to solution-solving.
The multiplication sign (x) designates the product, which is typically represented by a mathematical formula or a statement. The item is able to be employed to solve equations and discover their unsolved values.
= (5r + 2)(3r − 4)
= 5r(3r − 4) +2(3r − 4)
= 15r² - 20r + 6r - 8
= 15r² -14r -8
Therefore, option D is the correct option.
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.
A spherical water tank holds 10500ft^3. What is the diameter of the tank? Use V=pie/6*d^3
The diameter of the sphere having a volume 10500 ft³ is 27.2 feet.
What is a sphere?In geometry, a sphere is a three-dimensional solid figure, which is round in shape.
The surface area is 4πr².
The volume is (4/3)πr³.
The diameter is 2×radius of the sphere.
Given, A spherical water tank holds 10500ft³.
The formula for the volume of the sphere is to be used is V = (π/6)d³, where 'd' is the diameter.
Therefore,
(π/6)d³ = 10500.
d³ = (10500)×(6/π).
d³ = 20063.7
d = 27.2 feet.
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which ordered pair is a solution of y=-6x-7
Which is the conclusion of this statement?
If a and b are negative, then a + b is negative.
A. If a and b are negative, then a + b is negative.
B. If a + b is negative, then a and b is negative.
C. a and b are negative.
D. a + b is negative.
Gcf of 24 60 and 72 i need it for my test tomorrow
What is the least common denominator of 5/12 and 4/9
If two triangles are congruent, then the six ___ parts are congruent.
Answer:
If two triangles are congruent, then the six corresponding parts are congruent.
Step-by-step explanation:
If two triangles are congruent, then each part of the triangle is congruent to the corresponding part in the other triangle.
With reference to the above congruent triangle rule, we get;
If two triangles are congruent, then the six corresponding parts are congruent.
What is the eighth term in the arithmetic sequence defined by the explicit formula an=2n+7
Answer:
a8= 23
Step-by-step explanation:
2/17 = x/102 solve the proportion